Convergence of Modified Ishikawa Iterative Process for Nonself I-Asymptotically Quasi-Nonexpansive Mappings in Banach spaces

Jamnian Nantadilok

Abstract

Let E be a uniformly convex Banach space and K be a nonempty closed convex subset of E. Let T : K → E be a nonself mapping. In this paper, we establish the weak and strong convergence of a sequence of a modified Ishikawa iterative process of a nonself I-asymptotically quasi-nonexpansive mapping in a Banach space. The results obtained in this paper extend and improve the results in the existing lituratures.